Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 482/457, 768/889, 141/716 quickly i.e. 8699136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 482/457, 768/889, 141/716 is 8699136.
LCM(482/457, 768/889, 141/716) = 8699136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 482/457,768/889,141/716
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 482,768,141
Least Common Multiple of Numerators i.e. LCM of 482,768,141 is 8699136.
GCF of Denominators means GCF of 457,889,716 as per the given fractions.
GCF of 457,889,716 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 482,768,141
2 | 482, 768, 141 |
3 | 241, 384, 141 |
241, 128, 47 |
∴ So the LCM of the given numbers is 2 x 3 x 241 x 128 x 47 = 8699136
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 482,768,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,768,141) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(482,768,141) x common factors =1 x 6 = 6
LCM(482,768,141) = ( 482 × 768 × 141 ) / 6
LCM(482,768,141) = 52194816 / 6
LCM(482,768,141) = 8699136
Lets's calculate GCF of 457,889,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8699136/1
Therefore the LCM of Fractions 482/457,768/889,141/716 is 8699136
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 457,889,716 . The biggest common factor number is the GCF number.
So the greatest common factor 457,889,716 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 482/457, 768/889, 141/716?
Answer: LCM of Numerators as per given numbers 482/457, 768/889, 141/716 is
LCM of Numerators i.e. for 482,768,141 is 8699136
GCF of denominators i.e. for 457,889,716 is 1.
Thus, LCM of Fractions is 8699136.Finally, LCM of Fractions for 482/457, 768/889, 141/716 is 8699136.